Mathematical thinking : why everyone should study math / Howard Karloff.
2023
QA39.3
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Unlimited
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Can lend chapters, not whole ebooks
Details
Title
Mathematical thinking : why everyone should study math / Howard Karloff.
ISBN
9783031332036 (electronic bk.)
3031332032 (electronic bk.)
3031332024
9783031332029
3031332032 (electronic bk.)
3031332024
9783031332029
Publication Details
Cham, Switzerland : Birkhä̈user, [2023]
Language
English
Description
1 online resource
Item Number
10.1007/978-3-031-33203-6 doi
Call Number
QA39.3
Dewey Decimal Classification
510
Summary
This textbook invites readers to explore mathematical thinking by finding the beauty in the subject. With an accessible tone and stimulating puzzles, the author will convince curious non-mathematicians to continue their studies in the area. It has an expansive scope, covering everything from probability and graph theory to infinities and Newtons method. Many examples of proofs appear as well, offering readers the opportunity to explore these topics with the amount of rigor that suits them. Programming exercises in Python are also included to show how math behaves in action. Mathematical Thinking is an ideal textbook for transition courses aimed at undergraduates moving from lower level to more advanced topics, as well as for math recruitment and invitational courses at the freshman or sophomore level. It may also be of interest in computer science departments and can be used as a supplemental text for courses in discrete mathematics and graph theory.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Series
Compact textbooks in mathematics.
Available in Other Form
Print version: 9783031332029
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Table of Contents
Primes
The Euclidean Algorithm
Modular Arithmetic
Irrationals
*i*
Infinities and Diagonalization
Binary Search
Newton's Method
Graph Theory
Probability
Fractals
Solutions to Puzzles
Acknowledgements
Bibliography
Index.
The Euclidean Algorithm
Modular Arithmetic
Irrationals
*i*
Infinities and Diagonalization
Binary Search
Newton's Method
Graph Theory
Probability
Fractals
Solutions to Puzzles
Acknowledgements
Bibliography
Index.